Given numbers are 728,273,131,367

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 728,273,131,367 is 105000168.

Find LCM of 728,273,131,367 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

7 x 13 x 8 x 3 x 131 x 367 = 105000168

Therefore, the lowest common multiple of 728,273,131,367 is 105000168.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

728 x 273 x 131 x 367 = 9555015288

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

273 : 1, 3, 7, 13, 21, 39, 91, 273

131 : 1, 131

367 : 1, 367

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,273,131,367, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

273:3x 7x 13

131:131

367:367

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

7x 13 = 91

Therefore, the value for common factors is 91.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 9555015288/(1x91)

LCM = 9555015288/91

LCM = 105000168

Thus, we can understand that the LCM of 728,273,131,367 is 105000168.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 157, 320, 260, 951
• LCM of 205, 821, 214, 529
• LCM of 198, 462, 188, 942
• LCM of 690, 625, 541, 321
• LCM of 645, 843, 320, 910

1. What is the LCM of 728, 273, 131, 367?

Answer: LCM of 728, 273, 131, 367 is 105000168.

2. How to calculate the LCM of 728, 273, 131, 367?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 728, 273, 131, 367.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.